Systems of Equations Review

Front

What does the graph of a system with infinite solutions look like?

Back

The lines are directly on top of one another (looks like one line).

Front

What does the graph of a system with no solution look like?

Back

The lines are parallel to one another.

Front

What is the solution to the system of equations for the mini golf problem?

Back

(2, 32) at exactly 2 games of mini golf both places will cost $32.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and will never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

The lines representing the equations are the same line, meaning they intersect at every point.

Front

How do you determine the solution of a system of equations graphically?

Back

The solution is the point where the lines intersect on the graph.

Front

Back

It is a straight line with a slope of 2 and a y-intercept of -2.

Front

Back

It is a straight line with a slope of -2 and a y-intercept of 4.

Front

How can you tell if two lines are parallel from their equations?

Back

If the slopes of the lines are equal, the lines are parallel.

Front

Back

The slope is 4.